OAI/NumberTheory/Ostmann/ZeroDensity/CharacterContourZeros.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

The only zeros crossed by the fixed smooth contour

Between Re(s)=-1/2 and Re(s)=2 the poles of the logarithmic derivative are precisely the critical-strip zeros, together with the possible zero at zero.

  1. theorem OAI.Ostmann.PrimitiveComplexCharacter.L_ne_zero_one_le_re line 16
  2. theorem OAI.Ostmann.PrimitiveComplexCharacter.completed_ne_zero_left line 21
  3. theorem OAI.Ostmann.PrimitiveComplexCharacter.L_ne_zero_left_ne_origin line 33
  4. theorem OAI.Ostmann.PrimitiveComplexCharacter.contour_zero_location line 53